How are the graphs of the functions f(x) = /16x and g(x) = 3/64x related
1 answer:
Answer:
the functions f(x) and g(x) are equivalent
Step-by-step explanation:
Your full question is attached below
The equations of your problem are
f(x) = √(16^x)
f(x) = √(4^(2x))
f(x) = √(4^(2x)) = √(4^x.4^x)
f(x) = 4^(x)
and
g(x) = ∛64^x
g(x) = ∛4^(3x)
g(x) = ∛4^(3x) = ∛4^(x) .4^(x) .4^(x)
g(x) = 4^(x)
Thus, the functions f(x) and g(x) are equivalent
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Greg is driving a remote control car at a constant speed. He starts the timer when the car is 5ft away after 2 seconds the car is 35ft away
Let x be the seconds and y be the feet the car is away
In 0 seconds the car is 5ft away. (0, 5)
In 2 second the car is 35 ft away (2, 35)
Question says constant speed
so we find linear equation y=mx+b
use the points (0,5) and (2,35)
slope
y intercept is 5
so equation becomes y = 15x + 5
to find the distance the car has traveled after 10 secs
We plug in 10 for x and find out y
y = 15(10) + 5= 150+5= 155
the distance the car has traveled after 10 secs is 155 feet